Solution Found!
a. Use the results of Example 7.5 to obtain a 95% lowerconfidence bound for the
Chapter 7, Problem 62(choose chapter or problem)
a. Use the results of Example 7.5 to obtain a 95% lower confidence bound for the parameter \(\lambda\) of an exponential distribution, and calculate the bound based on the data given in the example.
b. If lifetime X has an exponential distribution, the probability that lifetime exceeds t is \(P(X > t) = e^{- \lambda t}\). Use the result of part (a) to obtain a 95% lower confidence bound for the probability that breakdown time exceeds 100 min.
Questions & Answers
QUESTION:
a. Use the results of Example 7.5 to obtain a 95% lower confidence bound for the parameter \(\lambda\) of an exponential distribution, and calculate the bound based on the data given in the example.
b. If lifetime X has an exponential distribution, the probability that lifetime exceeds t is \(P(X > t) = e^{- \lambda t}\). Use the result of part (a) to obtain a 95% lower confidence bound for the probability that breakdown time exceeds 100 min.
ANSWER:Step 1 of 3
Given that,
In example 7.5 is chi-square distribution with degrees of freedom. And the confidence coefficient is 95%.